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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2013, том 9, випуск за цей рік за назвою

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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2013, том 9, випуск за цей рік за назвою

Сортувати за: Порядок: Результатів:

  • Euler Equations Related to the Generalized Neveu-Schwarz Algebra 
    Zuo, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    In this paper, we study supersymmetric or bi-superhamiltonian Euler equations related to the generalized Neveu-Schwarz algebra. As an application, we obtain several supersymmetric or bi-superhamiltonian generalizations of ...
  • Extended T-System of Type G₂ 
    Li, J.; Mukhin, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We prove a family of 3-term relations in the Grothendieck ring of the category of finite-dimensional modules over the affine quantum algebra of type G₂ extending the celebrated T-system relations of type G₂. We show that ...
  • Fourier, Gegenbauer and Jacobi Expansions for a Power-Law Fundamental Solution of the Polyharmonic Equation and Polyspherical Addition Theorems 
    Cohl, H.S. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We develop complex Jacobi, Gegenbauer and Chebyshev polynomial expansions for the kernels associated with power-law fundamental solutions of the polyharmonic equation on d-dimensional Euclidean space. From these series ...
  • Free Fermi and Bose Fields in TQFT and GBF 
    Oeckl, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We present a rigorous and functorial quantization scheme for linear fermionic and bosonic field theory targeting the topological quantum field theory (TQFT) that is part of the general boundary formulation (GBF). Motivated ...
  • From Quantum AN to E₈ Trigonometric Model: Space-of-Orbits View 
    Turbiner, A.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    A number of affine-Weyl-invariant integrable and exactly-solvable quantum models with trigonometric potentials is considered in the space of invariants (the space of orbits). These models are completely-integrable and admit ...
  • Generalized Fuzzy Torus and its Modular Properties 
    Schreivogl, P.; Steinacker, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We consider a generalization of the basic fuzzy torus to a fuzzy torus with non-trivial modular parameter, based on a finite matrix algebra. We discuss the modular properties of this fuzzy torus, and compute the matrix ...
  • Geometry of Optimal Control for Control-Affine Systems 
    Clelland, J.N.; Moseley, C.G.; Wilkens, G.R. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    Motivated by the ubiquity of control-affine systems in optimal control theory, we investigate the geometry of point-affine control systems with metric structures in dimensions two and three. We compute local isometric ...
  • Ground-State Analysis for an Exactly Solvable Coupled-Spin Hamiltonian 
    Mattei, E.; Links, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We introduce a Hamiltonian for two interacting su(2) spins. We use a mean-field analysis and exact Bethe ansatz results to investigate the ground-state properties of the system in the classical limit, defined as the limit ...
  • G-Strands and Peakon Collisions on Diff(R) 
    Holm, D.D.; Ivanov, R.I. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    A G-strand is a map g: R×R→G for a Lie group G that follows from Hamilton's principle for a certain class of G-invariant Lagrangians. Some G-strands on finite-dimensional groups satisfy 1+1 space-time evolutionary equations ...
  • Heisenberg XXX Model with General Boundaries: Eigenvectors from Algebraic Bethe Ansatz 
    Belliard, S.; Crampé, N. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We propose a generalization of the algebraic Bethe ansatz to obtain the eigenvectors of the Heisenberg spin chain with general boundaries associated to the eigenvalues and the Bethe equations found recently by Cao et al. ...
  • Integrability of Discrete Equations Modulo a Prime 
    Kanki, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We apply the ''almost good reduction'' (AGR) criterion, which has been introduced in our previous works, to several classes of discrete integrable equations. We verify our conjecture that AGR plays the same role for maps ...
  • Integrable Flows for Starlike Curves in Centroaffine Space 
    Calini, A.; Ivey, T.; Beffa, G.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We construct integrable hierarchies of flows for curves in centroaffine R³ through a natural pre-symplectic structure on the space of closed unparametrized starlike curves. We show that the induced evolution equations for ...
  • Integrable Hierarchy of the Quantum Benjamin-Ono Equation 
    Nazarov, M.; Sklyanin, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    A hierarchy of pairwise commuting Hamiltonians for the quantum periodic Benjamin-Ono equation is constructed by using the Lax matrix. The eigenvectors of these Hamiltonians are Jack symmetric functions of infinitely many ...
  • Invariant Discretization Schemes Using Evolution-Projection Techniques 
    Bihlo, A.; Nave, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    Finite difference discretization schemes preserving a subgroup of the maximal Lie invariance group of the one-dimensional linear heat equation are determined. These invariant schemes are constructed using the invariantization ...
  • Invertible Darboux Transformations 
    Shemyakova, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    For operators of many different kinds it has been proved that (generalized) Darboux transformations can be built using so called Wronskian formulae. Such Darboux transformations are not invertible in the sense that the ...
  • Leibniz Algebras and Lie Algebras 
    Mason, G.; Yamskulna, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    This paper concerns the algebraic structure of finite-dimensional complex Leibniz algebras. In particular, we introduce left central and symmetric Leibniz algebras, and study the poset of Lie subalgebras using an associative ...
  • Levi-Civita's Theorem for Noncommutative Tori 
    Rosenberg, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We show how to define Riemannian metrics and connections on a noncommutative torus in such a way that an analogue of Levi-Civita's theorem on the existence and uniqueness of a Riemannian connection holds. The major novelty ...
  • Mathematical Structure of Loop Quantum Cosmology: Homogeneous Models 
    Bojowald, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    The mathematical structure of homogeneous loop quantum cosmology is analyzed, starting with and taking into account the general classification of homogeneous connections not restricted to be Abelian. As a first consequence, ...
  • Multi-Component Integrable Systems and Invariant Curve Flows in Certain Geometries 
    Qu, C.; Song, J.; Yao, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    In this paper, multi-component generalizations to the Camassa-Holm equation, the modified Camassa-Holm equation with cubic nonlinearity are introduced. Geometric formulations to the dual version of the Schrödinger equation, ...
  • Object-Image Correspondence for Algebraic Curves under Projections 
    Burdis, J.M.; Kogan, I.A.; Hong, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We present a novel algorithm for deciding whether a given planar curve is an image of a given spatial curve, obtained by a central or a parallel projection with unknown parameters. The motivation comes from the problem of ...

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